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Finding the Fourth Proportional to 201,749.60, 302,843.10 and 126,954.20

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Solution

The fourth proportional to 201,749.60, 302,843.10 and 126,954.20 is: 190,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,749.60 : 302,843.10 = 126,954.20 : x
  2. Step 2: Convert to fraction form
    201,749.60/302,843.10 = 126,954.20/x
  3. Step 3: Cross multiply
    201,749.60x = 302,843.10 × 126,954.20
  4. Step 4: Simplify right side
    201,749.60x = 38,447,203,486.02
  5. Step 5: Solve for x
    x = 38,447,203,486.02/201,749.60
  6. Step 6: Final answer
    x = 190,568.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.